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Finding the Fourth Proportional to 6,280.45, 9,420.74 and 1,897.94

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Solution

The fourth proportional to 6,280.45, 9,420.74 and 1,897.94 is: 2,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.45 : 9,420.74 = 1,897.94 : x
  2. Step 2: Convert to fraction form
    6,280.45/9,420.74 = 1,897.94/x
  3. Step 3: Cross multiply
    6,280.45x = 9,420.74 × 1,897.94
  4. Step 4: Simplify right side
    6,280.45x = 17,879,999.28
  5. Step 5: Solve for x
    x = 17,879,999.28/6,280.45
  6. Step 6: Final answer
    x = 2,846.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.